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Finding the Third Proportional to 386,973 and 586,302

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Solution

The third proportional to 386,973 and 586,302 is: 888,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,973 : 586,302 = 586,302 : x
  2. Step 2: Convert to fraction form
    386,973/586,302 = 586,302/x
  3. Step 3: Cross multiply
    386,973x = 586,302 × 586,302
  4. Step 4: Simplify right side
    386,973x = 343,750,035,204
  5. Step 5: Solve for x
    x = 343,750,035,204/386,973
  6. Step 6: Final answer
    x = 888,304.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.